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Finding the Fourth Proportional to 7,560, 10,432.80 and 4,248

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Solution

The fourth proportional to 7,560, 10,432.80 and 4,248 is: 5,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560 : 10,432.80 = 4,248 : x
  2. Step 2: Convert to fraction form
    7,560/10,432.80 = 4,248/x
  3. Step 3: Cross multiply
    7,560x = 10,432.80 × 4,248
  4. Step 4: Simplify right side
    7,560x = 44,318,534.40
  5. Step 5: Solve for x
    x = 44,318,534.40/7,560
  6. Step 6: Final answer
    x = 5,862.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.