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Finding the Fourth Proportional to 10,907.66, 16,360.57 and 4,332.08

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Solution

The fourth proportional to 10,907.66, 16,360.57 and 4,332.08 is: 6,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.66 : 16,360.57 = 4,332.08 : x
  2. Step 2: Convert to fraction form
    10,907.66/16,360.57 = 4,332.08/x
  3. Step 3: Cross multiply
    10,907.66x = 16,360.57 × 4,332.08
  4. Step 4: Simplify right side
    10,907.66x = 70,875,298.09
  5. Step 5: Solve for x
    x = 70,875,298.09/10,907.66
  6. Step 6: Final answer
    x = 6,497.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.