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Finding the Fourth Proportional to 7,392.16, 11,088.24 and 4,312

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Solution

The fourth proportional to 7,392.16, 11,088.24 and 4,312 is: 6,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.16 : 11,088.24 = 4,312 : x
  2. Step 2: Convert to fraction form
    7,392.16/11,088.24 = 4,312/x
  3. Step 3: Cross multiply
    7,392.16x = 11,088.24 × 4,312
  4. Step 4: Simplify right side
    7,392.16x = 47,812,490.88
  5. Step 5: Solve for x
    x = 47,812,490.88/7,392.16
  6. Step 6: Final answer
    x = 6,468.00

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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.