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Finding the Fourth Proportional to 7,365.78, 11,038.35 and 5,714.70

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Solution

The fourth proportional to 7,365.78, 11,038.35 and 5,714.70 is: 8,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.78 : 11,038.35 = 5,714.70 : x
  2. Step 2: Convert to fraction form
    7,365.78/11,038.35 = 5,714.70/x
  3. Step 3: Cross multiply
    7,365.78x = 11,038.35 × 5,714.70
  4. Step 4: Simplify right side
    7,365.78x = 63,080,858.75
  5. Step 5: Solve for x
    x = 63,080,858.75/7,365.78
  6. Step 6: Final answer
    x = 8,564.04

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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.