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Finding the Fourth Proportional to 11,068.38, 15,280.65 and 7,298.10

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Solution

The fourth proportional to 11,068.38, 15,280.65 and 7,298.10 is: 10,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,068.38 : 15,280.65 = 7,298.10 : x
  2. Step 2: Convert to fraction form
    11,068.38/15,280.65 = 7,298.10/x
  3. Step 3: Cross multiply
    11,068.38x = 15,280.65 × 7,298.10
  4. Step 4: Simplify right side
    11,068.38x = 111,519,711.77
  5. Step 5: Solve for x
    x = 111,519,711.77/11,068.38
  6. Step 6: Final answer
    x = 10,075.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.