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Finding the Fourth Proportional to 10,405.61, 14,359.65 and 5,689.93

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Solution

The fourth proportional to 10,405.61, 14,359.65 and 5,689.93 is: 7,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.61 : 14,359.65 = 5,689.93 : x
  2. Step 2: Convert to fraction form
    10,405.61/14,359.65 = 5,689.93/x
  3. Step 3: Cross multiply
    10,405.61x = 14,359.65 × 5,689.93
  4. Step 4: Simplify right side
    10,405.61x = 81,705,331.53
  5. Step 5: Solve for x
    x = 81,705,331.53/10,405.61
  6. Step 6: Final answer
    x = 7,852.05

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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.