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Finding the Fourth Proportional to 7,886.40, 10,883.76 and 4,530.30

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Solution

The fourth proportional to 7,886.40, 10,883.76 and 4,530.30 is: 6,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.40 : 10,883.76 = 4,530.30 : x
  2. Step 2: Convert to fraction form
    7,886.40/10,883.76 = 4,530.30/x
  3. Step 3: Cross multiply
    7,886.40x = 10,883.76 × 4,530.30
  4. Step 4: Simplify right side
    7,886.40x = 49,306,697.93
  5. Step 5: Solve for x
    x = 49,306,697.93/7,886.40
  6. Step 6: Final answer
    x = 6,252.12

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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.