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Finding the Fourth Proportional to 10,061.95, 13,886.31 and 5,586.61

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Solution

The fourth proportional to 10,061.95, 13,886.31 and 5,586.61 is: 7,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.95 : 13,886.31 = 5,586.61 : x
  2. Step 2: Convert to fraction form
    10,061.95/13,886.31 = 5,586.61/x
  3. Step 3: Cross multiply
    10,061.95x = 13,886.31 × 5,586.61
  4. Step 4: Simplify right side
    10,061.95x = 77,577,398.31
  5. Step 5: Solve for x
    x = 77,577,398.31/10,061.95
  6. Step 6: Final answer
    x = 7,709.98

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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.