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Finding the Fourth Proportional to 7,513.84, 11,248.82 and 6,037.60

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Solution

The fourth proportional to 7,513.84, 11,248.82 and 6,037.60 is: 9,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.84 : 11,248.82 = 6,037.60 : x
  2. Step 2: Convert to fraction form
    7,513.84/11,248.82 = 6,037.60/x
  3. Step 3: Cross multiply
    7,513.84x = 11,248.82 × 6,037.60
  4. Step 4: Simplify right side
    7,513.84x = 67,915,875.63
  5. Step 5: Solve for x
    x = 67,915,875.63/7,513.84
  6. Step 6: Final answer
    x = 9,038.77

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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.