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Finding the Fourth Proportional to 10,411.61, 14,368.36 and 5,695.89

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Solution

The fourth proportional to 10,411.61, 14,368.36 and 5,695.89 is: 7,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.61 : 14,368.36 = 5,695.89 : x
  2. Step 2: Convert to fraction form
    10,411.61/14,368.36 = 5,695.89/x
  3. Step 3: Cross multiply
    10,411.61x = 14,368.36 × 5,695.89
  4. Step 4: Simplify right side
    10,411.61x = 81,840,598.04
  5. Step 5: Solve for x
    x = 81,840,598.04/10,411.61
  6. Step 6: Final answer
    x = 7,860.51

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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.