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Finding the Fourth Proportional to 10,875.78, 16,276.59 and 7,545.15

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Solution

The fourth proportional to 10,875.78, 16,276.59 and 7,545.15 is: 11,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.78 : 16,276.59 = 7,545.15 : x
  2. Step 2: Convert to fraction form
    10,875.78/16,276.59 = 7,545.15/x
  3. Step 3: Cross multiply
    10,875.78x = 16,276.59 × 7,545.15
  4. Step 4: Simplify right side
    10,875.78x = 122,809,313.04
  5. Step 5: Solve for x
    x = 122,809,313.04/10,875.78
  6. Step 6: Final answer
    x = 11,292.00

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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.