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Finding the Fourth Proportional to 8,429.49, 12,580.14 and 7,495.34

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Solution

The fourth proportional to 8,429.49, 12,580.14 and 7,495.34 is: 11,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.49 : 12,580.14 = 7,495.34 : x
  2. Step 2: Convert to fraction form
    8,429.49/12,580.14 = 7,495.34/x
  3. Step 3: Cross multiply
    8,429.49x = 12,580.14 × 7,495.34
  4. Step 4: Simplify right side
    8,429.49x = 94,292,328.51
  5. Step 5: Solve for x
    x = 94,292,328.51/8,429.49
  6. Step 6: Final answer
    x = 11,186.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.