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Finding the Fourth Proportional to 10,509.16, 15,773.58 and 5,318.68

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Solution

The fourth proportional to 10,509.16, 15,773.58 and 5,318.68 is: 7,983.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.16 : 15,773.58 = 5,318.68 : x
  2. Step 2: Convert to fraction form
    10,509.16/15,773.58 = 5,318.68/x
  3. Step 3: Cross multiply
    10,509.16x = 15,773.58 × 5,318.68
  4. Step 4: Simplify right side
    10,509.16x = 83,894,624.47
  5. Step 5: Solve for x
    x = 83,894,624.47/10,509.16
  6. Step 6: Final answer
    x = 7,983.00

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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.