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Finding the Fourth Proportional to 7,582, 11,368.84 and 4,076.16

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Solution

The fourth proportional to 7,582, 11,368.84 and 4,076.16 is: 6,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582 : 11,368.84 = 4,076.16 : x
  2. Step 2: Convert to fraction form
    7,582/11,368.84 = 4,076.16/x
  3. Step 3: Cross multiply
    7,582x = 11,368.84 × 4,076.16
  4. Step 4: Simplify right side
    7,582x = 46,341,210.85
  5. Step 5: Solve for x
    x = 46,341,210.85/7,582
  6. Step 6: Final answer
    x = 6,112.00

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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.