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Finding the Fourth Proportional to 11,430, 15,775.42 and 6,714.28

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Solution

The fourth proportional to 11,430, 15,775.42 and 6,714.28 is: 9,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430 : 15,775.42 = 6,714.28 : x
  2. Step 2: Convert to fraction form
    11,430/15,775.42 = 6,714.28/x
  3. Step 3: Cross multiply
    11,430x = 15,775.42 × 6,714.28
  4. Step 4: Simplify right side
    11,430x = 105,920,587.00
  5. Step 5: Solve for x
    x = 105,920,587.00/11,430
  6. Step 6: Final answer
    x = 9,266.89

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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.