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Finding the Fourth Proportional to 7,570.47, 10,446.10 and 4,339.83

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Solution

The fourth proportional to 7,570.47, 10,446.10 and 4,339.83 is: 5,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.47 : 10,446.10 = 4,339.83 : x
  2. Step 2: Convert to fraction form
    7,570.47/10,446.10 = 4,339.83/x
  3. Step 3: Cross multiply
    7,570.47x = 10,446.10 × 4,339.83
  4. Step 4: Simplify right side
    7,570.47x = 45,334,298.16
  5. Step 5: Solve for x
    x = 45,334,298.16/7,570.47
  6. Step 6: Final answer
    x = 5,988.31

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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.