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Finding the Fourth Proportional to 7,357.59, 11,038.14 and 3,457.44

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Solution

The fourth proportional to 7,357.59, 11,038.14 and 3,457.44 is: 5,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.59 : 11,038.14 = 3,457.44 : x
  2. Step 2: Convert to fraction form
    7,357.59/11,038.14 = 3,457.44/x
  3. Step 3: Cross multiply
    7,357.59x = 11,038.14 × 3,457.44
  4. Step 4: Simplify right side
    7,357.59x = 38,163,706.76
  5. Step 5: Solve for x
    x = 38,163,706.76/7,357.59
  6. Step 6: Final answer
    x = 5,186.98

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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.