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Finding the Fourth Proportional to 11,745.84, 16,209.32 and 7,030.13

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Solution

The fourth proportional to 11,745.84, 16,209.32 and 7,030.13 is: 9,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.84 : 16,209.32 = 7,030.13 : x
  2. Step 2: Convert to fraction form
    11,745.84/16,209.32 = 7,030.13/x
  3. Step 3: Cross multiply
    11,745.84x = 16,209.32 × 7,030.13
  4. Step 4: Simplify right side
    11,745.84x = 113,953,510.61
  5. Step 5: Solve for x
    x = 113,953,510.61/11,745.84
  6. Step 6: Final answer
    x = 9,701.60

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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.