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Finding the Fourth Proportional to 7,054.48, 10,582.24 and 2,374.50

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Solution

The fourth proportional to 7,054.48, 10,582.24 and 2,374.50 is: 3,561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.48 : 10,582.24 = 2,374.50 : x
  2. Step 2: Convert to fraction form
    7,054.48/10,582.24 = 2,374.50/x
  3. Step 3: Cross multiply
    7,054.48x = 10,582.24 × 2,374.50
  4. Step 4: Simplify right side
    7,054.48x = 25,127,528.88
  5. Step 5: Solve for x
    x = 25,127,528.88/7,054.48
  6. Step 6: Final answer
    x = 3,561.93

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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.