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Finding the Fourth Proportional to 10,700.34, 14,771.52 and 8,048.76

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Solution

The fourth proportional to 10,700.34, 14,771.52 and 8,048.76 is: 11,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.34 : 14,771.52 = 8,048.76 : x
  2. Step 2: Convert to fraction form
    10,700.34/14,771.52 = 8,048.76/x
  3. Step 3: Cross multiply
    10,700.34x = 14,771.52 × 8,048.76
  4. Step 4: Simplify right side
    10,700.34x = 118,892,419.32
  5. Step 5: Solve for x
    x = 118,892,419.32/10,700.34
  6. Step 6: Final answer
    x = 11,111.09

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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.