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Finding the Fourth Proportional to 7,256.53, 10,011.77 and 4,700.24

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Solution

The fourth proportional to 7,256.53, 10,011.77 and 4,700.24 is: 6,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.53 : 10,011.77 = 4,700.24 : x
  2. Step 2: Convert to fraction form
    7,256.53/10,011.77 = 4,700.24/x
  3. Step 3: Cross multiply
    7,256.53x = 10,011.77 × 4,700.24
  4. Step 4: Simplify right side
    7,256.53x = 47,057,671.77
  5. Step 5: Solve for x
    x = 47,057,671.77/7,256.53
  6. Step 6: Final answer
    x = 6,484.88

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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.