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Finding the Fourth Proportional to 8,303.60, 11,458.76 and 4,577.52

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Solution

The fourth proportional to 8,303.60, 11,458.76 and 4,577.52 is: 6,316.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.60 : 11,458.76 = 4,577.52 : x
  2. Step 2: Convert to fraction form
    8,303.60/11,458.76 = 4,577.52/x
  3. Step 3: Cross multiply
    8,303.60x = 11,458.76 × 4,577.52
  4. Step 4: Simplify right side
    8,303.60x = 52,452,703.08
  5. Step 5: Solve for x
    x = 52,452,703.08/8,303.60
  6. Step 6: Final answer
    x = 6,316.86

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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.