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Finding the Fourth Proportional to 7,037.53, 9,702.66 and 4,380.19

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Solution

The fourth proportional to 7,037.53, 9,702.66 and 4,380.19 is: 6,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.53 : 9,702.66 = 4,380.19 : x
  2. Step 2: Convert to fraction form
    7,037.53/9,702.66 = 4,380.19/x
  3. Step 3: Cross multiply
    7,037.53x = 9,702.66 × 4,380.19
  4. Step 4: Simplify right side
    7,037.53x = 42,499,494.31
  5. Step 5: Solve for x
    x = 42,499,494.31/7,037.53
  6. Step 6: Final answer
    x = 6,038.98

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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.