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Finding the Fourth Proportional to 7,830.48, 11,720.76 and 4,357.20

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Solution

The fourth proportional to 7,830.48, 11,720.76 and 4,357.20 is: 6,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.48 : 11,720.76 = 4,357.20 : x
  2. Step 2: Convert to fraction form
    7,830.48/11,720.76 = 4,357.20/x
  3. Step 3: Cross multiply
    7,830.48x = 11,720.76 × 4,357.20
  4. Step 4: Simplify right side
    7,830.48x = 51,069,695.47
  5. Step 5: Solve for x
    x = 51,069,695.47/7,830.48
  6. Step 6: Final answer
    x = 6,521.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.