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Finding the Fourth Proportional to 7,496.58, 10,345.16 and 4,139.74

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Solution

The fourth proportional to 7,496.58, 10,345.16 and 4,139.74 is: 5,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.58 : 10,345.16 = 4,139.74 : x
  2. Step 2: Convert to fraction form
    7,496.58/10,345.16 = 4,139.74/x
  3. Step 3: Cross multiply
    7,496.58x = 10,345.16 × 4,139.74
  4. Step 4: Simplify right side
    7,496.58x = 42,826,272.66
  5. Step 5: Solve for x
    x = 42,826,272.66/7,496.58
  6. Step 6: Final answer
    x = 5,712.77

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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.