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Finding the Fourth Proportional to 10,807.46, 14,926.59 and 7,264.52

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Solution

The fourth proportional to 10,807.46, 14,926.59 and 7,264.52 is: 10,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.46 : 14,926.59 = 7,264.52 : x
  2. Step 2: Convert to fraction form
    10,807.46/14,926.59 = 7,264.52/x
  3. Step 3: Cross multiply
    10,807.46x = 14,926.59 × 7,264.52
  4. Step 4: Simplify right side
    10,807.46x = 108,434,409.71
  5. Step 5: Solve for x
    x = 108,434,409.71/10,807.46
  6. Step 6: Final answer
    x = 10,033.30

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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.