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Finding the Fourth Proportional to 7,058, 10,622.46 and 5,312.05

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Solution

The fourth proportional to 7,058, 10,622.46 and 5,312.05 is: 7,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058 : 10,622.46 = 5,312.05 : x
  2. Step 2: Convert to fraction form
    7,058/10,622.46 = 5,312.05/x
  3. Step 3: Cross multiply
    7,058x = 10,622.46 × 5,312.05
  4. Step 4: Simplify right side
    7,058x = 56,427,038.64
  5. Step 5: Solve for x
    x = 56,427,038.64/7,058
  6. Step 6: Final answer
    x = 7,994.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.