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Finding the Fourth Proportional to 10,573.18, 15,862.65 and 3,648.70

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Solution

The fourth proportional to 10,573.18, 15,862.65 and 3,648.70 is: 5,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.18 : 15,862.65 = 3,648.70 : x
  2. Step 2: Convert to fraction form
    10,573.18/15,862.65 = 3,648.70/x
  3. Step 3: Cross multiply
    10,573.18x = 15,862.65 × 3,648.70
  4. Step 4: Simplify right side
    10,573.18x = 57,878,051.06
  5. Step 5: Solve for x
    x = 57,878,051.06/10,573.18
  6. Step 6: Final answer
    x = 5,474.04

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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.