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Finding the Fourth Proportional to 7,764.04, 10,715.18 and 6,798.10

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Solution

The fourth proportional to 7,764.04, 10,715.18 and 6,798.10 is: 9,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.04 : 10,715.18 = 6,798.10 : x
  2. Step 2: Convert to fraction form
    7,764.04/10,715.18 = 6,798.10/x
  3. Step 3: Cross multiply
    7,764.04x = 10,715.18 × 6,798.10
  4. Step 4: Simplify right side
    7,764.04x = 72,842,865.16
  5. Step 5: Solve for x
    x = 72,842,865.16/7,764.04
  6. Step 6: Final answer
    x = 9,382.08

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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.