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Finding the Fourth Proportional to 11,430.74, 15,774.87 and 6,714.98

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Solution

The fourth proportional to 11,430.74, 15,774.87 and 6,714.98 is: 9,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.74 : 15,774.87 = 6,714.98 : x
  2. Step 2: Convert to fraction form
    11,430.74/15,774.87 = 6,714.98/x
  3. Step 3: Cross multiply
    11,430.74x = 15,774.87 × 6,714.98
  4. Step 4: Simplify right side
    11,430.74x = 105,927,936.55
  5. Step 5: Solve for x
    x = 105,927,936.55/11,430.74
  6. Step 6: Final answer
    x = 9,266.94

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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.