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Finding the Fourth Proportional to 11,300.16, 16,929.60 and 6,362.40

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Solution

The fourth proportional to 11,300.16, 16,929.60 and 6,362.40 is: 9,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.16 : 16,929.60 = 6,362.40 : x
  2. Step 2: Convert to fraction form
    11,300.16/16,929.60 = 6,362.40/x
  3. Step 3: Cross multiply
    11,300.16x = 16,929.60 × 6,362.40
  4. Step 4: Simplify right side
    11,300.16x = 107,712,887.04
  5. Step 5: Solve for x
    x = 107,712,887.04/11,300.16
  6. Step 6: Final answer
    x = 9,531.98

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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.