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Finding the Fourth Proportional to 7,681.14, 10,602.63 and 4,537.13

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Solution

The fourth proportional to 7,681.14, 10,602.63 and 4,537.13 is: 6,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.14 : 10,602.63 = 4,537.13 : x
  2. Step 2: Convert to fraction form
    7,681.14/10,602.63 = 4,537.13/x
  3. Step 3: Cross multiply
    7,681.14x = 10,602.63 × 4,537.13
  4. Step 4: Simplify right side
    7,681.14x = 48,105,457.64
  5. Step 5: Solve for x
    x = 48,105,457.64/7,681.14
  6. Step 6: Final answer
    x = 6,262.80

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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.