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Finding the Fourth Proportional to 7,275.84, 10,038.16 and 4,442.46

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Solution

The fourth proportional to 7,275.84, 10,038.16 and 4,442.46 is: 6,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275.84 : 10,038.16 = 4,442.46 : x
  2. Step 2: Convert to fraction form
    7,275.84/10,038.16 = 4,442.46/x
  3. Step 3: Cross multiply
    7,275.84x = 10,038.16 × 4,442.46
  4. Step 4: Simplify right side
    7,275.84x = 44,594,124.27
  5. Step 5: Solve for x
    x = 44,594,124.27/7,275.84
  6. Step 6: Final answer
    x = 6,129.07

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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.