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Finding the Fourth Proportional to 10,807.61, 16,203.53 and 7,288.87

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Solution

The fourth proportional to 10,807.61, 16,203.53 and 7,288.87 is: 10,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.61 : 16,203.53 = 7,288.87 : x
  2. Step 2: Convert to fraction form
    10,807.61/16,203.53 = 7,288.87/x
  3. Step 3: Cross multiply
    10,807.61x = 16,203.53 × 7,288.87
  4. Step 4: Simplify right side
    10,807.61x = 118,105,423.71
  5. Step 5: Solve for x
    x = 118,105,423.71/10,807.61
  6. Step 6: Final answer
    x = 10,927.99

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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.