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Finding the Fourth Proportional to 7,358, 10,154.04 and 4,046

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Solution

The fourth proportional to 7,358, 10,154.04 and 4,046 is: 5,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358 : 10,154.04 = 4,046 : x
  2. Step 2: Convert to fraction form
    7,358/10,154.04 = 4,046/x
  3. Step 3: Cross multiply
    7,358x = 10,154.04 × 4,046
  4. Step 4: Simplify right side
    7,358x = 41,083,245.84
  5. Step 5: Solve for x
    x = 41,083,245.84/7,358
  6. Step 6: Final answer
    x = 5,583.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.