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Finding the Fourth Proportional to 7,460.38, 10,303.68 and 5,801.74

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Solution

The fourth proportional to 7,460.38, 10,303.68 and 5,801.74 is: 8,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.38 : 10,303.68 = 5,801.74 : x
  2. Step 2: Convert to fraction form
    7,460.38/10,303.68 = 5,801.74/x
  3. Step 3: Cross multiply
    7,460.38x = 10,303.68 × 5,801.74
  4. Step 4: Simplify right side
    7,460.38x = 59,779,272.40
  5. Step 5: Solve for x
    x = 59,779,272.40/7,460.38
  6. Step 6: Final answer
    x = 8,012.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.