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Finding the Fourth Proportional to 10,529.00, 14,532.92 and 6,547.75

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Solution

The fourth proportional to 10,529.00, 14,532.92 and 6,547.75 is: 9,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.00 : 14,532.92 = 6,547.75 : x
  2. Step 2: Convert to fraction form
    10,529.00/14,532.92 = 6,547.75/x
  3. Step 3: Cross multiply
    10,529.00x = 14,532.92 × 6,547.75
  4. Step 4: Simplify right side
    10,529.00x = 95,157,882.41
  5. Step 5: Solve for x
    x = 95,157,882.41/10,529.00
  6. Step 6: Final answer
    x = 9,037.70

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