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Finding the Fourth Proportional to 10,030.74, 13,827.99 and 7,037.29

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Solution

The fourth proportional to 10,030.74, 13,827.99 and 7,037.29 is: 9,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.74 : 13,827.99 = 7,037.29 : x
  2. Step 2: Convert to fraction form
    10,030.74/13,827.99 = 7,037.29/x
  3. Step 3: Cross multiply
    10,030.74x = 13,827.99 × 7,037.29
  4. Step 4: Simplify right side
    10,030.74x = 97,311,575.75
  5. Step 5: Solve for x
    x = 97,311,575.75/10,030.74
  6. Step 6: Final answer
    x = 9,701.34

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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.