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Finding the Fourth Proportional to 11,491.81, 15,860.16 and 7,014.60

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Solution

The fourth proportional to 11,491.81, 15,860.16 and 7,014.60 is: 9,681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.81 : 15,860.16 = 7,014.60 : x
  2. Step 2: Convert to fraction form
    11,491.81/15,860.16 = 7,014.60/x
  3. Step 3: Cross multiply
    11,491.81x = 15,860.16 × 7,014.60
  4. Step 4: Simplify right side
    11,491.81x = 111,252,678.34
  5. Step 5: Solve for x
    x = 111,252,678.34/11,491.81
  6. Step 6: Final answer
    x = 9,681.04

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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.