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Finding the Fourth Proportional to 7,038.24, 9,712.44 and 4,054.16

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Solution

The fourth proportional to 7,038.24, 9,712.44 and 4,054.16 is: 5,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.24 : 9,712.44 = 4,054.16 : x
  2. Step 2: Convert to fraction form
    7,038.24/9,712.44 = 4,054.16/x
  3. Step 3: Cross multiply
    7,038.24x = 9,712.44 × 4,054.16
  4. Step 4: Simplify right side
    7,038.24x = 39,375,785.75
  5. Step 5: Solve for x
    x = 39,375,785.75/7,038.24
  6. Step 6: Final answer
    x = 5,594.55

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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.