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Finding the Fourth Proportional to 10,715.04, 16,020 and 9,089.76

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Solution

The fourth proportional to 10,715.04, 16,020 and 9,089.76 is: 13,590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.04 : 16,020 = 9,089.76 : x
  2. Step 2: Convert to fraction form
    10,715.04/16,020 = 9,089.76/x
  3. Step 3: Cross multiply
    10,715.04x = 16,020 × 9,089.76
  4. Step 4: Simplify right side
    10,715.04x = 145,617,955.20
  5. Step 5: Solve for x
    x = 145,617,955.20/10,715.04
  6. Step 6: Final answer
    x = 13,590.05

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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.