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Finding the Fourth Proportional to 7,460.58, 10,295.88 and 4,103.65

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Solution

The fourth proportional to 7,460.58, 10,295.88 and 4,103.65 is: 5,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.58 : 10,295.88 = 4,103.65 : x
  2. Step 2: Convert to fraction form
    7,460.58/10,295.88 = 4,103.65/x
  3. Step 3: Cross multiply
    7,460.58x = 10,295.88 × 4,103.65
  4. Step 4: Simplify right side
    7,460.58x = 42,250,714.40
  5. Step 5: Solve for x
    x = 42,250,714.40/7,460.58
  6. Step 6: Final answer
    x = 5,663.19

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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.