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Finding the Fourth Proportional to 7,038.36, 9,717.36 and 4,521.48

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Solution

The fourth proportional to 7,038.36, 9,717.36 and 4,521.48 is: 6,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.36 : 9,717.36 = 4,521.48 : x
  2. Step 2: Convert to fraction form
    7,038.36/9,717.36 = 4,521.48/x
  3. Step 3: Cross multiply
    7,038.36x = 9,717.36 × 4,521.48
  4. Step 4: Simplify right side
    7,038.36x = 43,936,848.89
  5. Step 5: Solve for x
    x = 43,936,848.89/7,038.36
  6. Step 6: Final answer
    x = 6,242.48

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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.