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Finding the Fourth Proportional to 10,088.96, 15,133.44 and 3,164

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Solution

The fourth proportional to 10,088.96, 15,133.44 and 3,164 is: 4,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.96 : 15,133.44 = 3,164 : x
  2. Step 2: Convert to fraction form
    10,088.96/15,133.44 = 3,164/x
  3. Step 3: Cross multiply
    10,088.96x = 15,133.44 × 3,164
  4. Step 4: Simplify right side
    10,088.96x = 47,882,204.16
  5. Step 5: Solve for x
    x = 47,882,204.16/10,088.96
  6. Step 6: Final answer
    x = 4,746.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.